Discontinuous Mixed Covolume Methods for Parabolic Problems

We present the semidiscrete and the backward Euler fully discrete discontinuous mixed covolume schemes for parabolic problems on triangular meshes. We give the error analysis of the discontinuous mixed covolume schemes and obtain optimal order error estimates in discontinuous H(div) and first-order...

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Detalles Bibliográficos
Autores principales: Zhu, Ailing, Jiang, Ziwen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3985389/
https://www.ncbi.nlm.nih.gov/pubmed/24983008
http://dx.doi.org/10.1155/2014/867863
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author Zhu, Ailing
Jiang, Ziwen
author_facet Zhu, Ailing
Jiang, Ziwen
author_sort Zhu, Ailing
collection PubMed
description We present the semidiscrete and the backward Euler fully discrete discontinuous mixed covolume schemes for parabolic problems on triangular meshes. We give the error analysis of the discontinuous mixed covolume schemes and obtain optimal order error estimates in discontinuous H(div) and first-order error estimate in L (2).
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spelling pubmed-39853892014-06-30 Discontinuous Mixed Covolume Methods for Parabolic Problems Zhu, Ailing Jiang, Ziwen ScientificWorldJournal Research Article We present the semidiscrete and the backward Euler fully discrete discontinuous mixed covolume schemes for parabolic problems on triangular meshes. We give the error analysis of the discontinuous mixed covolume schemes and obtain optimal order error estimates in discontinuous H(div) and first-order error estimate in L (2). Hindawi Publishing Corporation 2014 2014-03-30 /pmc/articles/PMC3985389/ /pubmed/24983008 http://dx.doi.org/10.1155/2014/867863 Text en Copyright © 2014 A. Zhu and Z. Jiang. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Zhu, Ailing
Jiang, Ziwen
Discontinuous Mixed Covolume Methods for Parabolic Problems
title Discontinuous Mixed Covolume Methods for Parabolic Problems
title_full Discontinuous Mixed Covolume Methods for Parabolic Problems
title_fullStr Discontinuous Mixed Covolume Methods for Parabolic Problems
title_full_unstemmed Discontinuous Mixed Covolume Methods for Parabolic Problems
title_short Discontinuous Mixed Covolume Methods for Parabolic Problems
title_sort discontinuous mixed covolume methods for parabolic problems
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3985389/
https://www.ncbi.nlm.nih.gov/pubmed/24983008
http://dx.doi.org/10.1155/2014/867863
work_keys_str_mv AT zhuailing discontinuousmixedcovolumemethodsforparabolicproblems
AT jiangziwen discontinuousmixedcovolumemethodsforparabolicproblems

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